87350760 has 192 divisors, whose sum is σ = 343699200. Its totient is φ = 18782208.

The previous prime is 87350749. The next prime is 87350779. The reversal of 87350760 is 6705378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41821 + ... + 43859.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 2^87350760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87350760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

87350760 is an abundant number, since it is smaller than the sum of its proper divisors (256348440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87350760 is a wasteful number, since it uses less digits than its factorization.

87350760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 87350760 is about 9346.1628489985. The cubic root of 87350760 is about 443.6994557256.

The spelling of 87350760 in words is "eighty-seven million, three hundred fifty thousand, seven hundred sixty".